A shock absorbing trolley of a railway wagon, comprising a first- stage shock absorbing means by means of which the chassis (18) of the trolley is coupled with wheels (20), and a second-stage shock absorbing means which connect the chassis (18) with an equalizer beam of the rail-vehicle, wherein the second-stage shock absorbing means comprise at least one energy absorbing element in a form of a kinetic energy absorption rotor arrangement (1) in which kinetic energy of progressive movement is transformed into kinetic energy of rotational movement, and wherein the arrangement comprises a top plate (13) and a bottom plate (12) between which are arranged racks (2) interengaged with toothed wheels (3, 3a, 3b, 3c) driving the kinetic energy rotor accumulators of a given moment of inertia, characterized in that the kinetic energy absorption rotor arrangement (1) installed under the equalizer beam (17) of the rail-vehicle comprises at least two racks (2) interengaged with toothed wheels (3, 3a, 3b, 3c) of the kinetic energy rotor accumulators (4, 5, 6) of differentiated capabilities of energy accumulation, wherein the racks (2) are installed between the bottom plate (12) and the top plate (13) defining differentiated gaps (7, 8, 9) providing differentiated idle stroke between them and these plates (12, 13).